Info! This is a derivative of the model achcar12
v_1
EXT = Sn
v_10
v_10
Ins = An
v_11
Ss = Is
v_12
Is = EXT
v_13
Is = It
v_14
Is = As
v_15
It = EXT
v_16
It = As
v_17
An = EXT
v_18
An = EXT
v_19
As = EXT
v_2
Sn = Ins
v_20
As = EXT
v_3
Sn = EXT
v_4
Sn = Ss
v_5
EXT = Ss
v_6
Ss = Ins
v_7
Ss = EXT
v_8
Ins = EXT
v_9
Ins = Is
Assignment rules
Lambda = c*(1.0 - Theta)*Beta*exp ((-m*(Delta_1*An + Delta_2*As))/(Sn + Ss + Ins + Is + It + An + As))*((Ins + Eta_1*(Is + Phi_1*It) + Eta_2*(An + Phi_2*As))/(Sn + Ss + Ins + Is + It + An + As))
people_with_HIV = Ins + Is +It
Function definitions
Note that constraints are not enforced in simulations. It remains the responsibility of the user to verify that simulation results satisfy these constraints.
Modelling HIV/AIDS in the presence of an HIV testing and screening campaign.
J. Theor. Biol. 2011;
280
(1):
167-179
- PubMed: 21536051
- DOI: 10.1016/j.jtbi.2011.04.021
- ISSN: 1095-8541
- URL: http://ncbi.nlm.nih.gov/pubmed/21536051
Abstract
Preventing and managing the HIV/AIDS epidemic in South Africa will dominate the next decade and beyond. Reduction of new HIV infections by implementing a comprehensive national HIV prevention programme at a sufficient scale to have real impact remains a priority. In this paper, a deterministic HIV/AIDS model that incorporates condom use, screening through HIV counseling and testing (HCT), regular testing and treatment as control strategies is proposed with the objective of quantifying the effectiveness of HCT in preventing new infections and predicting the long-term dynamics of the epidemic. It is found that a backward bifurcation occurs if the rate of screening is below a certain threshold, suggesting that the classical requirement for the basic reproduction number to be below unity though necessary, is not sufficient for disease control in this case. The global stabilities of the equilibria under certain conditions are determined in terms of the model reproduction number R(0). Numerical simulations are performed and the model is fitted to data on HIV prevalence in South Africa. The effects of changes in some key epidemiological parameters are investigated. Projections are made to predict the long-term dynamics of the disease. The epidemiological implications of such projections on public health planning and management are discussed.
No additional notes are available for this model.